814269808 has 80 divisors (see below), whose sum is σ = 1881308160. Its totient is φ = 337075200.

The previous prime is 814269803. The next prime is 814269809. The reversal of 814269808 is 808962418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814269803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88363 + ... + 97141.

It is an arithmetic number, because the mean of its divisors is an integer number (23516352).

Almost surely, 2^814269808 is an apocalyptic number.

814269808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814269808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940654080).

814269808 is an abundant number, since it is smaller than the sum of its proper divisors (1067038352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

814269808 is a wasteful number, since it uses less digits than its factorization.

814269808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8846 (or 8840 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 814269808 is about 28535.4132263754. The cubic root of 814269808 is about 933.8048186991.

The spelling of 814269808 in words is "eight hundred fourteen million, two hundred sixty-nine thousand, eight hundred eight".